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The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a $\hat{u}(1)$ Ka\v{c}-Moody algebra, and…

High Energy Physics - Theory · Physics 2021-02-23 Luca Ciambelli , Stéphane Detournay , Antoine Somerhausen

We present the asymptotic analysis of 3D conformal gravity as a SO(3,2) Chern-Simons gauge theory with Minkowskian (flat) and AdS boundary conditions. We further extend these boundary conditions to the case where the Weyl mode and the…

High Energy Physics - Theory · Physics 2015-06-16 Hamid R. Afshar

We provide a non conformal generalization of the Comp\`ere-Song-Strominger (CSS) boundary conditions for AdS$_3$ gravity that breaks the $\widehat u(1)$ Kac-Moody-Virasoro symmetry to two $u(1)$s. The holographic dual specified by the new…

High Energy Physics - Theory · Physics 2021-05-18 Pankaj Chaturvedi , Ioannis Papadimitriou , Wei Song , Boyang Yu

We consider warped AdS_3 black holes in generic higher derivatives gravity theories in 2+1 dimensions. The asymptotic symmetry group of the phase space containing these black holes is the semi-direct product of a centrally extended Virasoro…

High Energy Physics - Theory · Physics 2016-06-29 Stéphane Detournay , Laure-Anne Douxchamps , Gim Seng Ng , Céline Zwikel

In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase…

High Energy Physics - Theory · Physics 2022-10-04 Seyed Naseh Sajadi , Ali Hajilou

It is shown that General Relativity with negative cosmological constant in three spacetime dimensions admits a new family of boundary conditions being labeled by a nonnegative integer $k$. Gravitational excitations are then described by…

High Energy Physics - Theory · Physics 2016-07-20 Alfredo Pérez , David Tempo , Ricardo Troncoso

We study Kac-Moody asymptotic symmetries and memory effects in $\text{AdS}_4^{\text{Poincare}}$ gauge theory and (when accompanied by 4D gravity) in its holographic CFT$_3$ dual. While such infinite-dimensional symmetries are absent in…

High Energy Physics - Theory · Physics 2019-03-11 Rashmish K. Mishra , Arif Mohd , Raman Sundrum

A generalization of the Brown-Henneaux boundary conditions is introduced for pure gravity with negative cosmological constant in 3 dimensions. This leads to new degrees of freedom and to an enhancement of the symmetry algebra. Up to the…

High Energy Physics - Theory · Physics 2015-06-15 Cedric Troessaert

We construct a candidate for the most general chiral higher spin theory with AdS$_3$ boundary conditions. In the Chern-Simons language, on the left it has the Drinfeld-Sokolov reduced form, but on the right all charges and chemical…

High Energy Physics - Theory · Physics 2017-06-14 Chethan Krishnan , Avinash Raju

The asymptotic structure of three-dimensional Carroll gravity with negative cosmological constant is studied. We formulate a consistent set of boundary conditions preserved by an infinite-dimensional extension of the AdS$_3$ Carroll…

High Energy Physics - Theory · Physics 2025-06-25 Luis Avilés , Oscar Fuentealba , Diego Hidalgo , Pablo Rodríguez

We study a new class of solutions of three-dimensional topological massive gravity. These solutions can be taken as non-extremal black holes, with their extremal counterparts being discrete quotients of spacelike warped AdS$_3$ along the…

High Energy Physics - Theory · Physics 2011-03-29 Bin Chen , Bo Ning

In this note we investigate the generalized massive gravity in asymptotically $AdS_3$ spacetime by combining the two mass terms of topological massive gravity and new massive gravity theory. We study the linearized excitations around the…

High Energy Physics - Theory · Physics 2009-06-30 Yan Liu , Ya-Wen Sun

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of…

High Energy Physics - Theory · Physics 2015-06-19 Alan Garbarz , Mauricio Leston

We equip three-dimensional spin-3 gravity in the principal embedding with a new set of boundary conditions that we call "asymptotically null warped AdS". We find a chiral copy of the Polyakov-Bershadsky algebra as asymptotic symmetry…

High Energy Physics - Theory · Physics 2015-12-07 Veronika Breunhoelder , Mirah Gary , Daniel Grumiller , Stefan Prohazka

To satisfy the Cardy formula for Warped AdS$_3$ (WAdS$_{3}$) solutions in a quadratic ensemble, a specific set of boundary conditions has been proposed in \cite{Aggarwal:2020igb}. In this paper, these boundary conditions have been…

High Energy Physics - Theory · Physics 2025-10-09 S. N. Sajadi , Supakchai Ponglertsakul

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

We revisit the holographic description of the near horizon geometry of the BTZ black hole in AdS$_3$ gravity, with a gravitational Chern-Simons term included. After a dimensional reduction of the three dimensional theory, we use the…

High Energy Physics - Theory · Physics 2020-08-26 Alejandra Castro , Beatrix Mühlmann

We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger boundary conditions employing a semi-product of a Virasoro and a $\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We…

High Energy Physics - Theory · Physics 2021-09-10 Mohammad Reza Setare , Seyed Naseh Sajadi , Suat Dengiz , Ercan Kilicarslan

The Chern-Simons formulation of $AdS_3$ supergravity is considered. Asymptotic conditions on the Rarita-Schwinger fields are given. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic algebra…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

We provide a set of chiral boundary conditions for three-dimensional gravity that allow for asymptotic symmetries identical to those of two-dimensional induced gravity in light-cone gauge considered by Polyakov. These are the most general…

High Energy Physics - Theory · Physics 2015-06-15 Steven G. Avery , Rohan R. Poojary , Nemani V. Suryanarayana
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